Maths-
General
Easy
Question
Evaluate as a fraction (64 / 27)2/3 − (1/9)−2 + 90
Hint:
In Mathematics, lets say, "a" represents a number and "n" is the number of times that number is to be multiplied with itself, in order to get a desired result. Then, such result can be written as an, where a is called the base and n is its power/ exponent.
an = a × a × ... × a n times.
The correct answer is: Value of given expression, when simplified is -208/9 or -23.11.
Step-by-step solution:-
(64/27)2/3 − (1/9)−2 + 90
= (26/33)2/3 - (9)2 + 1 …................................................. (b-n= 1/bn & b0 = 1)
= 26×3/2 / 33×2/3 - 81 + 1 ................................................ [(bn)m = bnm]
= 29 / 32 - 81 + 1
= 512/9 - 80
= 512/9 - 720/9 ................................................... (Multiplying & Dividing the second term with 9 to make the denominators equal)
= 512 - 720 / 9
= -208/9
= -23.11
Final Answer:-
∴ Value of given expression, when simplified is -208/9 or -23.11.
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